S -度量空间中满足一种新型φ -隐式关系的一对弱相容映射的不动点

IF 0.6 Q3 MATHEMATICS Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-07-01 DOI:10.2478/ausm-2020-0012

V. Popa, A. Patriciu

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摘要

摘要本文的目的是在S -度量空间中引入一种新的φ -隐式关系，并证明了一对弱相容映射的一般不动点，推广了定理1、2、4[23]、定理1-7[13]、推论2.19[13]、定理2.2、2.4[19]、定理3.2、3.3、3.4[20]等已知结果。

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Fixed points for a pair of weakly compatible mappings satisfying a new type of ϕ - implicit relation in S - metric spaces

Abstract The purpose of this paper is to introduce a new type of φ -implicit relation in S - metric spaces and to prove a general fixed point for a pair of weakly compatible mappings, which generalize Theorems 1, 2, 4 [23], Theorems 1-7 [13], Corollary 2.19 [13], Theorems 2.2, 2.4 [19], Theorems 3.2, 3.3, 3.4 [20] and other known results.

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